Which two signs need to be interchanged to make the following equation correct?
$$45 - 9 \div 3 + 5 \times 6 = 32$$
Given expression $$45 - 9 \div 3 + 5 \times 6 = 32$$
 we check option (A) $$\times and \div$$
we put Sign in the expressionÂ
$$45 - 9 \times 3 + 5 \div 6 = 32$$Â
From LHSÂ $$45 - 9 \times 3 + 5 \div 6$$
$$\Rightarrow 45 - 27 + 0.833 $$
$$\Rightarrow 18 +0.833 $$
$$\Rightarrow 18.833 $$ RHS it is not staisfied .
check another option $$\div and + $$
we put Sign in the expressionÂ
$$45 - 9 +3 \div5 \times 6 = 32$$
From LHSÂ $$45 - 9 +3 \div5 \times 6$$
$$\Rightarrow 45 - 9+ 0.6 \times 6 $$
$$\Rightarrow 45 -9 + 3.6 $$
$$\Rightarrow 36 +3.6 $$Â
$$\Rightarrow 39.6 $$ RHS it is not staisfied .
We check another option $$\times and + $$
we put sign in the given expression
$$45 - 9 \div 3 \times 5 + 6 = 32$$  Similar we check it is also not stiasfied .
we check another option $$\div and - $$
we put sign in the given expressionÂ
$$45 \div 9 - 3 + 5 \times 6 = 32$$
From LHSÂ $$45 \div 9 - 3 + 5 \times 6$$
$$\Rightarrow 5 - 3 +30 $$
$$\Rightarrow 35-3 $$
$$\Rightarrow 32 $$ RHS it is staified.
therefore (D) $$ \div and - $$ AnsÂ
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